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Number Sequences - Polynomial, Specific Term (Level 2)

This math topic focuses on polynomial number sequences, where students are required to find specific terms when given a certain value for the variable (e.g., n, m, z, x, c, d). It includes practice problems that help improve skills in applying algebraic expressions to particular values within advanced patterning and number patterns. Each problem presents a polynomial equation, and students must substitute the given variable value to calculate the appropriate term from the sequence. Multiple choice answers are provided for students to select from after solving the polynomial expressions.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Number Sequences - Polynomial, Specific Term

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


What is the term in this number sequence when b = 3

4b2+6b−24b^2 + 6b - 2

Number Sequences - Polynomial, Specific Term Worksheet

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Math worksheet on 'Number Sequences - Polynomial, Specific Term (Level 2)'. Part of a broader unit on 'Patterns and Sums - Intro' Learn online: app.mobius.academy/math/units/patterns_and_sums_intro/
1
What is the term in this number sequence when z = 1
A LaTex expression showing 3z to the power of 2 - 5z + 6
a
-6
b
13
c
4
d
-5
e
14
f
-6
2
What is the term in this number sequence when p = 3
A LaTex expression showing 5p to the power of 2 + 7p + 2
a
65
b
26
c
22
d
64
e
68
f
110
3
What is the term in this number sequence when d = 1
A LaTex expression showing 4d to the power of 2 + 3d - 2
a
9
b
4
c
3
d
5
e
3
f
-1
4
What is the term in this number sequence when c = 2
A LaTex expression showing 9c to the power of 2 + 6c - 2
a
46
b
26
c
50
d
58
e
22
f
26
5
What is the term in this number sequence when x = 1
A LaTex expression showing 7x to the power of 2 + 4x - 4
a
8
b
15
c
4
d
7
e
4
f
-1
6
What is the term in this number sequence when d = 1
A LaTex expression showing 4d to the power of 2 + 3d + 7
a
-1
b
14
c
0
d
10
e
-6
f
8
7
What is the term in this number sequence when z = 2
A LaTex expression showing 3z to the power of 2 + 4z - 5
a
23
b
9
c
21
d
-1
e
15
f
25